Firstly, choose the number of pegs on your board.
Take it in turns to add a band to the board.
Bands must fit round three pegs, in other words, each must make a triangle.
A band can share a peg with other bands, but the triangles must not overlap (except along the edges and pegs).

A player loses when they cannot make a triangle on their turn.

What are the winning strategies?
Once you've mastered this game, why not play to lose?
You might like to extend the game - have a look at this for a more challenging version.

Perhaps you can invent some of your own games using the pegboard? You'll need to think about the rules of the game and what players need to do to win. Email us if you'd like to share your ideas.

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the
NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to
embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities
can be found here.